Cengage Advantage Books: Precalculus A Problems-Oriented Approach

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Precalculus: A Problems-Oriented Approach offers a fairly rigorous lead-in to calculus using the right triangle approach to trigonometry. A graphical perspective gives students a visual understanding of concepts. The text may be used with any graphing utility, or with none at all, with equal ease. Modeling provides students with real-world connections to the problems. The author is know for his clear writing style and numerous quality exercises and applications.

Algebra Background for Precalculus

1

(34)

Sets of Real Numbers

1

(5)

Absolute Value

6

(5)

Polynomials and Factoring

11

(9)

Quadratic Equations

20

(15)

Coordinates, Graphs, and Inequalities

35

(66)

Rectangular Coordinates

35

(12)

Graphs and Equations, A Second Look

47

(10)

Equations of Lines

57

(12)

Symmetry and Graphs

69

(8)

Inequalities

77

(8)

More on Inequalities

85

(16)

Functions

101

(74)

The Definition of a Function

101

(12)

The Graph of a Function

113

(17)

Techniques in Graphing

130

(12)

Methods of Combining Functions. Iteration

142

(12)

Inverse Functions

154

(21)

Polynomial and Rational Functions. Applications to Iteration and Optimization

175

(95)

Linear Functions

175

(14)

Quadratic Functions

189

(9)

More on Iteration. Quadratics and Population Growth

198

(17)

Applied Functions: Setting up Equations

215

(12)

Maximum and Minimum Problems

227

(11)

Polynomial Functions

238

(13)

Rational Functions

251

(19)

Exponential and Logarithmic Functions

270

(87)

Exponential Functions

271

(9)

The Exponential Function y = ex

280

(9)

Logarithmic Functions

289

(12)

Properties of Logarithms

301

(9)

Equations and Inequalities with Logs and Exponents

310

(11)

Compound Interest

321

(11)

Exponential Growth and Decay

332

(25)

Trigonometric Functions of Angles

357

(51)

Trigonometric Functions of Acute Angles

357

(10)

Algebra and the Trigonometric Functions

367

(7)

Right-Triangle Applications

374

(9)

Trigonometric Functions of Angles

383

(12)

Trigonometric Identities

395

(13)

Trigonometric Functions of Real Numbers

408

(75)

Radian Measure

408

(9)

Radian Measure and Geometry

417

(10)

Trigonometric Functions of Real Numbers

427

(11)

Graphs of the Sine and the Cosine Functions

438

(16)

Graphs of y = A sin(Bx - C) and y = A cos(Bx - C)

454

(8)

Simple Harmonic Motion

462

(5)

Graphs of the Tangent and the Reciprocal Functions

467

(16)

Analytical Trigonometry

483

(55)

The Addition Formulas

483

(9)

The Double-Angle Formulas

492

(10)

The Product-to-Sum and Sum-to-Product Formulas

502

(5)

Trigonometric Equations

507

(11)

The Inverse Trigonometric Functions

518

(20)

Additional Topics in Trigonometry

538

(62)

The Law of Sines and the Law of Cosines

538

(15)

Vectors in the Plane, A Geometric Approach

553

(7)

Vectors in the Plane, An Algebraic Approach

560

(8)

Parametric Equations

568

(8)

Introduction to Polar Coordinates

576

(9)

Curves in Polar Coordinates

585

(15)

Systems of Equations

600

(72)

Systems of Two Linear Equations in Two Unknowns

600

(11)

Gaussian Elimination

611

(8)

Matrices

619

(12)

The Inverse of a Square Matrix

631

(7)

Determinants and Cramer's Rule

638

(13)

Nonlinear Systems of Equations

651

(7)

Systems of Inequalities

658

(14)

Analytic Geometry

672

(80)

The Basic Equations

672

(9)

The Parabola

681

(11)

Tangents to Parabolas (Optional)

692

(3)

The Ellipse

695

(15)

The Hyperbola

710

(11)

The Focus-Directrix Property of Conics

721

(9)

The Conics in Polar Coordinates

730

(6)

Rotation of Axes

736

(16)

Roots of Polynomial Equations

752

(70)

The Complex Number System

752

(8)

Division of Polynomials

760

(7)

Roots of Polynomial Equations: The Remainder Theorem and the Factor Theorem